Details

analyze484.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

sample109.0ms

Algorithm

intervals

Results

26.0ms	47×	body	1280	valid
16.0ms	42×	body	1280	invalid
15.0ms	46×	body	640	valid
8.0ms	121×	body	80	valid
8.0ms	29×	body	640	invalid
6.0ms	30×	body	320	valid
5.0ms	85×	body	80	invalid
4.0ms	19×	body	320	invalid
2.0ms	12×	body	160	valid
1.0ms	10×	body	160	invalid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4814	15
1	4814	15

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 21.0b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
4.7b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l*_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64`
2×	`sinh-undef_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64`

Counts

3 → 59

Calls

3 calls:

8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series38.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
23.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
4.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify57.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5007	714

prune68.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	1	69

Merged error: 0.0b

Counts

69 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 l)
0.0b	(.f64 J (.f64 2 (sinh.f64 l)))
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-r/_binary64` `associate-l*_binary64`
3×	`add-log-exp_binary64` `sinh-def_binary64`
2×	`*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 l)
6.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 l)
14.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
28.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

simplify42.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4970	490
1	4970	490

prune60.0ms

Filtered

37 candidates to 58 candidates (-56.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Merged error: 0.0b

Counts

59 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 l)
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
3×	`add-log-exp_binary64` `sinh-def_binary64` `associate-*r/_binary64`
2×	`associate-l/_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 l)
8.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

series51.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh.f64 l)
27.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
17.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5105	561

prune59.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	57	4	61

Merged error: 0b

Counts

61 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 J (cbrt.f64 (.f64 8 (pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3))))
0.1b	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
0.1b	(pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)
38.0b	(cbrt.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `sinh-def_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `cube-div_binary64` `prod-exp_binary64`
2×	`cbrt-div_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `cbrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 J (cbrt.f64 (.f64 8 (pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3))))
5.0ms	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
5.0ms	(pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)
4.0ms	(cbrt.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 J (cbrt.f64 (.f64 8 (pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3))))
18.0ms	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
28.0ms	(pow.f64 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)
18.0ms	(cbrt.f64 (.f64 8 (pow.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))) 3)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5208	963

prune86.0ms

Filtered

62 candidates to 84 candidates (-35.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes335.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	13
1	16	13

end0.0ms

sample3.4s

Algorithm

intervals

Results

699.0ms	1224×	body	1280	valid
561.0ms	1452×	body	1280	invalid
445.0ms	1320×	body	640	valid
330.0ms	1222×	body	640	invalid
284.0ms	4156×	body	80	valid
208.0ms	3152×	body	80	invalid
182.0ms	847×	body	320	valid
114.0ms	604×	body	320	invalid
60.0ms	453×	body	160	valid
44.0ms	306×	body	160	invalid

Details

analyze484.0ms

sample109.0ms

simplify65.0ms

prune7.0ms

localize12.0ms

rewrite25.0ms

series38.0ms

simplify57.0ms

prune68.0ms

localize10.0ms

rewrite17.0ms

series50.0ms

simplify42.0ms

prune60.0ms

localize10.0ms

rewrite17.0ms

series51.0ms

simplify41.0ms

prune59.0ms

localize13.0ms

rewrite21.0ms

series94.0ms

simplify50.0ms

prune86.0ms

regimes335.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.4s

Profiling